Task 1: Solar heating systemsA solar heating system is used to produce hot water for showering, see (thefancy) Figure 1. The systems consists of several components, of which the mostimportant ones are the solar collector, the storage tank, the electric heater andthe mixing valve. The solar collector absorbs ̇q(t) = (300 + d) exp{−0.2(t −12)2}[W/m2] […]